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Simplifying 4Y + -5 = 10Y + 31 Reorder the terms: -5 + 4Y = 10Y + 31 Reorder the terms: -5 + 4Y = 31 + 10Y Solving -5 + 4Y = 31 + 10Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-10Y' to each side of the equation. -5 + 4Y + -10Y = 31 + 10Y + -10Y Combine like terms: 4Y + -10Y = -6Y -5 + -6Y = 31 + 10Y + -10Y Combine like terms: 10Y + -10Y = 0 -5 + -6Y = 31 + 0 -5 + -6Y = 31 Add '5' to each side of the equation. -5 + 5 + -6Y = 31 + 5 Combine like terms: -5 + 5 = 0 0 + -6Y = 31 + 5 -6Y = 31 + 5 Combine like terms: 31 + 5 = 36 -6Y = 36 Divide each side by '-6'. Y = -6 Simplifying Y = -6
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